GCF and LCM Calculator Logo

What is the Greatest Common Factor of 45923 and 45942?

Greatest common factor (GCF) of 45923 and 45942 is 19.

GCF(45923,45942) = 19

We will now calculate the prime factors of 45923 and 45942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45923 and 45942.

GCF Calculator and
and

How to find the GCF of 45923 and 45942?

We will first find the prime factorization of 45923 and 45942. After we will calculate the factors of 45923 and 45942 and find the biggest common factor number .

Step-1: Prime Factorization of 45923

Prime factors of 45923 are 19, 2417. Prime factorization of 45923 in exponential form is:

45923 = 191 × 24171

Step-2: Prime Factorization of 45942

Prime factors of 45942 are 2, 3, 13, 19, 31. Prime factorization of 45942 in exponential form is:

45942 = 21 × 31 × 131 × 191 × 311

Step-3: Factors of 45923

List of positive integer factors of 45923 that divides 45923 without a remainder.

1, 19, 2417

Step-4: Factors of 45942

List of positive integer factors of 45942 that divides 45923 without a remainder.

1, 2, 3, 6, 13, 19, 26, 31, 38, 39, 57, 62, 78, 93, 114, 186, 247, 403, 494, 589, 741, 806, 1178, 1209, 1482, 1767, 2418, 3534, 7657, 15314, 22971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45923 and 45942. The biggest common factor number is the GCF number.
So the greatest common factor 45923 and 45942 is 19.

Also check out the Least Common Multiple of 45923 and 45942